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Simplifying 5X2 + -2X + 5 = 0 Reorder the terms: 5 + -2X + 5X2 = 0 Solving 5 + -2X + 5X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + -0.4X + X2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.4X + -1 + X2 = 0 + -1 Reorder the terms: 1 + -1 + -0.4X + X2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.4X + X2 = 0 + -1 -0.4X + X2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.4X + X2 = -1 The X term is -0.4X. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4X + 0.04 + X2 = -1 + 0.04 Reorder the terms: 0.04 + -0.4X + X2 = -1 + 0.04 Combine like terms: -1 + 0.04 = -0.96 0.04 + -0.4X + X2 = -0.96 Factor a perfect square on the left side: (X + -0.2)(X + -0.2) = -0.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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